Trait nom::lib::std::prelude::v1::rust_2021::PartialOrd1.0.0[][src]

pub trait PartialOrd<Rhs = Self>: PartialEq<Rhs> where
    Rhs: ?Sized
{ fn partial_cmp(&self, other: &Rhs) -> Option<Ordering>; fn lt(&self, other: &Rhs) -> bool { ... }
fn le(&self, other: &Rhs) -> bool { ... }
fn gt(&self, other: &Rhs) -> bool { ... }
fn ge(&self, other: &Rhs) -> bool { ... } }
Expand description

Trait for values that can be compared for a sort-order.

The lt, le, gt, and ge methods of this trait can be called using the <, <=, >, and >= operators, respectively.

The methods of this trait must be consistent with each other and with those of PartialEq in the following sense:

  • a == b if and only if partial_cmp(a, b) == Some(Equal).
  • a < b if and only if partial_cmp(a, b) == Some(Less) (ensured by the default implementation).
  • a > b if and only if partial_cmp(a, b) == Some(Greater) (ensured by the default implementation).
  • a <= b if and only if a < b || a == b (ensured by the default implementation).
  • a >= b if and only if a > b || a == b (ensured by the default implementation).
  • a != b if and only if !(a == b) (already part of PartialEq).

If Ord is also implemented for Self and Rhs, it must also be consistent with partial_cmp (see the documentation of that trait for the exact requirements). It’s easy to accidentally make them disagree by deriving some of the traits and manually implementing others.

The comparison must satisfy, for all a, b and c:

  • transitivity: a < b and b < c implies a < c. The same must hold for both == and >.
  • duality: a < b if and only if b > a.

Note that these requirements mean that the trait itself must be implemented symmetrically and transitively: if T: PartialOrd<U> and U: PartialOrd<V> then U: PartialOrd<T> and T: PartialOrd<V>.

Corollaries

The following corollaries follow from the above requirements:

  • irreflexivity of < and >: !(a < a), !(a > a)
  • transitivity of >: if a > b and b > c then a > c
  • duality of partial_cmp: partial_cmp(a, b) == partial_cmp(b, a).map(Ordering::reverse)

Derivable

This trait can be used with #[derive]. When derived on structs, it will produce a lexicographic ordering based on the top-to-bottom declaration order of the struct’s members. When derived on enums, variants are ordered by their top-to-bottom discriminant order.

How can I implement PartialOrd?

PartialOrd only requires implementation of the partial_cmp method, with the others generated from default implementations.

However it remains possible to implement the others separately for types which do not have a total order. For example, for floating point numbers, NaN < 0 == false and NaN >= 0 == false (cf. IEEE 754-2008 section 5.11).

PartialOrd requires your type to be PartialEq.

If your type is Ord, you can implement partial_cmp by using cmp:

use std::cmp::Ordering;

#[derive(Eq)]
struct Person {
    id: u32,
    name: String,
    height: u32,
}

impl PartialOrd for Person {
    fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
        Some(self.cmp(other))
    }
}

impl Ord for Person {
    fn cmp(&self, other: &Self) -> Ordering {
        self.height.cmp(&other.height)
    }
}

impl PartialEq for Person {
    fn eq(&self, other: &Self) -> bool {
        self.height == other.height
    }
}

You may also find it useful to use partial_cmp on your type’s fields. Here is an example of Person types who have a floating-point height field that is the only field to be used for sorting:

use std::cmp::Ordering;

struct Person {
    id: u32,
    name: String,
    height: f64,
}

impl PartialOrd for Person {
    fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
        self.height.partial_cmp(&other.height)
    }
}

impl PartialEq for Person {
    fn eq(&self, other: &Self) -> bool {
        self.height == other.height
    }
}

Examples

let x : u32 = 0;
let y : u32 = 1;

assert_eq!(x < y, true);
assert_eq!(x.lt(&y), true);

Required methods

This method returns an ordering between self and other values if one exists.

Examples
use std::cmp::Ordering;

let result = 1.0.partial_cmp(&2.0);
assert_eq!(result, Some(Ordering::Less));

let result = 1.0.partial_cmp(&1.0);
assert_eq!(result, Some(Ordering::Equal));

let result = 2.0.partial_cmp(&1.0);
assert_eq!(result, Some(Ordering::Greater));

When comparison is impossible:

let result = f64::NAN.partial_cmp(&1.0);
assert_eq!(result, None);

Provided methods

This method tests less than (for self and other) and is used by the < operator.

Examples
let result = 1.0 < 2.0;
assert_eq!(result, true);

let result = 2.0 < 1.0;
assert_eq!(result, false);

This method tests less than or equal to (for self and other) and is used by the <= operator.

Examples
let result = 1.0 <= 2.0;
assert_eq!(result, true);

let result = 2.0 <= 2.0;
assert_eq!(result, true);

This method tests greater than (for self and other) and is used by the > operator.

Examples
let result = 1.0 > 2.0;
assert_eq!(result, false);

let result = 2.0 > 2.0;
assert_eq!(result, false);

This method tests greater than or equal to (for self and other) and is used by the >= operator.

Examples
let result = 2.0 >= 1.0;
assert_eq!(result, true);

let result = 2.0 >= 2.0;
assert_eq!(result, true);

Implementations on Foreign Types

Implements comparison operations on strings.

Strings are compared lexicographically by their byte values. This compares Unicode code points based on their positions in the code charts. This is not necessarily the same as “alphabetical” order, which varies by language and locale. Comparing strings according to culturally-accepted standards requires locale-specific data that is outside the scope of the str type.

Implements comparison of vectors lexicographically.

Panics

Panics if the value in either RefCell is currently borrowed.

Panics

Panics if the value in either RefCell is currently borrowed.

Panics

Panics if the value in either RefCell is currently borrowed.

Panics

Panics if the value in either RefCell is currently borrowed.

Panics

Panics if the value in either RefCell is currently borrowed.

Partial comparison for two Arcs.

The two are compared by calling partial_cmp() on their inner values.

Examples
use std::sync::Arc;
use std::cmp::Ordering;

let five = Arc::new(5);

assert_eq!(Some(Ordering::Less), five.partial_cmp(&Arc::new(6)));

Less-than comparison for two Arcs.

The two are compared by calling < on their inner values.

Examples
use std::sync::Arc;

let five = Arc::new(5);

assert!(five < Arc::new(6));

‘Less than or equal to’ comparison for two Arcs.

The two are compared by calling <= on their inner values.

Examples
use std::sync::Arc;

let five = Arc::new(5);

assert!(five <= Arc::new(5));

Greater-than comparison for two Arcs.

The two are compared by calling > on their inner values.

Examples
use std::sync::Arc;

let five = Arc::new(5);

assert!(five > Arc::new(4));

‘Greater than or equal to’ comparison for two Arcs.

The two are compared by calling >= on their inner values.

Examples
use std::sync::Arc;

let five = Arc::new(5);

assert!(five >= Arc::new(5));

Partial comparison for two Rcs.

The two are compared by calling partial_cmp() on their inner values.

Examples
use std::rc::Rc;
use std::cmp::Ordering;

let five = Rc::new(5);

assert_eq!(Some(Ordering::Less), five.partial_cmp(&Rc::new(6)));

Less-than comparison for two Rcs.

The two are compared by calling < on their inner values.

Examples
use std::rc::Rc;

let five = Rc::new(5);

assert!(five < Rc::new(6));

‘Less than or equal to’ comparison for two Rcs.

The two are compared by calling <= on their inner values.

Examples
use std::rc::Rc;

let five = Rc::new(5);

assert!(five <= Rc::new(5));

Greater-than comparison for two Rcs.

The two are compared by calling > on their inner values.

Examples
use std::rc::Rc;

let five = Rc::new(5);

assert!(five > Rc::new(4));

‘Greater than or equal to’ comparison for two Rcs.

The two are compared by calling >= on their inner values.

Examples
use std::rc::Rc;

let five = Rc::new(5);

assert!(five >= Rc::new(5));

Implementors

Implements comparison of vectors, lexicographically.

impl<A> PartialOrd<ArrayString<A>> for ArrayString<A> where
    A: Array<Item = u8> + Copy

impl<A> PartialOrd<str> for ArrayString<A> where
    A: Array<Item = u8> + Copy

impl<A> PartialOrd<ArrayString<A>> for str where
    A: Array<Item = u8> + Copy

impl<A: Array> PartialOrd<ArrayVec<A>> for ArrayVec<A> where
    A::Item: PartialOrd

impl<'a> PartialOrd<Utf8Component<'a>> for Utf8Component<'a>

impl<'a> PartialOrd<Utf8Prefix<'a>> for Utf8Prefix<'a>

impl<'a, 'b> PartialOrd<Utf8Path> for Utf8PathBuf

impl<'a, 'b> PartialOrd<Utf8PathBuf> for Utf8Path

impl<'a, 'b> PartialOrd<&'a Utf8Path> for Utf8PathBuf

impl<'a, 'b> PartialOrd<Utf8PathBuf> for &'a Utf8Path

impl<'a, 'b> PartialOrd<Utf8Path> for Cow<'a, Utf8Path>

impl<'a, 'b> PartialOrd<Cow<'a, Utf8Path>> for Utf8Path

impl<'a, 'b> PartialOrd<&'b Utf8Path> for Cow<'a, Utf8Path>

impl<'a, 'b> PartialOrd<Cow<'a, Utf8Path>> for &'b Utf8Path

impl<'a, 'b> PartialOrd<Utf8PathBuf> for Cow<'a, Utf8Path>

impl<'a, 'b> PartialOrd<Cow<'a, Utf8Path>> for Utf8PathBuf

impl<'a, 'b> PartialOrd<Path> for Utf8PathBuf

impl<'a, 'b> PartialOrd<Utf8PathBuf> for Path

impl<'a, 'b> PartialOrd<&'a Path> for Utf8PathBuf

impl<'a, 'b> PartialOrd<Utf8PathBuf> for &'a Path

impl<'a, 'b> PartialOrd<Cow<'a, Path>> for Utf8PathBuf

impl<'a, 'b> PartialOrd<Utf8PathBuf> for Cow<'a, Path>

impl<'a, 'b> PartialOrd<PathBuf> for Utf8PathBuf

impl<'a, 'b> PartialOrd<Utf8PathBuf> for PathBuf

impl<'a, 'b> PartialOrd<Path> for Utf8Path

impl<'a, 'b> PartialOrd<Utf8Path> for Path

impl<'a, 'b> PartialOrd<&'a Path> for Utf8Path

impl<'a, 'b> PartialOrd<Utf8Path> for &'a Path

impl<'a, 'b> PartialOrd<Cow<'a, Path>> for Utf8Path

impl<'a, 'b> PartialOrd<Utf8Path> for Cow<'a, Path>

impl<'a, 'b> PartialOrd<PathBuf> for Utf8Path

impl<'a, 'b> PartialOrd<Utf8Path> for PathBuf

impl<'a, 'b> PartialOrd<Path> for &'a Utf8Path

impl<'a, 'b> PartialOrd<&'a Utf8Path> for Path

impl<'a, 'b> PartialOrd<Cow<'b, Path>> for &'a Utf8Path

impl<'a, 'b> PartialOrd<&'a Utf8Path> for Cow<'b, Path>

impl<'a, 'b> PartialOrd<PathBuf> for &'a Utf8Path

impl<'a, 'b> PartialOrd<&'a Utf8Path> for PathBuf

impl<'a, 'b> PartialOrd<str> for Utf8PathBuf

impl<'a, 'b> PartialOrd<Utf8PathBuf> for str

impl<'a, 'b> PartialOrd<&'a str> for Utf8PathBuf

impl<'a, 'b> PartialOrd<Utf8PathBuf> for &'a str

impl<'a, 'b> PartialOrd<Cow<'a, str>> for Utf8PathBuf

impl<'a, 'b> PartialOrd<Utf8PathBuf> for Cow<'a, str>

impl<'a, 'b> PartialOrd<String> for Utf8PathBuf

impl<'a, 'b> PartialOrd<Utf8PathBuf> for String

impl<'a, 'b> PartialOrd<str> for Utf8Path

impl<'a, 'b> PartialOrd<Utf8Path> for str

impl<'a, 'b> PartialOrd<&'a str> for Utf8Path

impl<'a, 'b> PartialOrd<Utf8Path> for &'a str

impl<'a, 'b> PartialOrd<Cow<'a, str>> for Utf8Path

impl<'a, 'b> PartialOrd<Utf8Path> for Cow<'a, str>

impl<'a, 'b> PartialOrd<String> for Utf8Path

impl<'a, 'b> PartialOrd<Utf8Path> for String

impl<'a, 'b> PartialOrd<str> for &'a Utf8Path

impl<'a, 'b> PartialOrd<&'a Utf8Path> for str

impl<'a, 'b> PartialOrd<Cow<'b, str>> for &'a Utf8Path

impl<'a, 'b> PartialOrd<&'a Utf8Path> for Cow<'b, str>

impl<'a, 'b> PartialOrd<String> for &'a Utf8Path

impl<'a, 'b> PartialOrd<&'a Utf8Path> for String

impl<'a, 'b> PartialOrd<OsStr> for Utf8PathBuf

impl<'a, 'b> PartialOrd<Utf8PathBuf> for OsStr

impl<'a, 'b> PartialOrd<&'a OsStr> for Utf8PathBuf

impl<'a, 'b> PartialOrd<Utf8PathBuf> for &'a OsStr

impl<'a, 'b> PartialOrd<Cow<'a, OsStr>> for Utf8PathBuf

impl<'a, 'b> PartialOrd<Utf8PathBuf> for Cow<'a, OsStr>

impl<'a, 'b> PartialOrd<OsString> for Utf8PathBuf

impl<'a, 'b> PartialOrd<Utf8PathBuf> for OsString

impl<'a, 'b> PartialOrd<OsStr> for Utf8Path

impl<'a, 'b> PartialOrd<Utf8Path> for OsStr

impl<'a, 'b> PartialOrd<&'a OsStr> for Utf8Path

impl<'a, 'b> PartialOrd<Utf8Path> for &'a OsStr

impl<'a, 'b> PartialOrd<Cow<'a, OsStr>> for Utf8Path

impl<'a, 'b> PartialOrd<Utf8Path> for Cow<'a, OsStr>

impl<'a, 'b> PartialOrd<OsString> for Utf8Path

impl<'a, 'b> PartialOrd<Utf8Path> for OsString

impl<'a, 'b> PartialOrd<OsStr> for &'a Utf8Path

impl<'a, 'b> PartialOrd<&'a Utf8Path> for OsStr

impl<'a, 'b> PartialOrd<Cow<'b, OsStr>> for &'a Utf8Path

impl<'a, 'b> PartialOrd<&'a Utf8Path> for Cow<'b, OsStr>

impl<'a, 'b> PartialOrd<OsString> for &'a Utf8Path

impl<'a, 'b> PartialOrd<&'a Utf8Path> for OsString

impl PartialOrd<Cfg> for Cfg

impl PartialOrd<Func> for Func

impl PartialOrd<Arch> for Arch

impl PartialOrd<Os> for Os

impl PartialOrd<Env> for Env

impl<Tz: TimeZone> PartialOrd<Date<Tz>> for Date<Tz>

impl<Tz: TimeZone, Tz2: TimeZone> PartialOrd<DateTime<Tz2>> for DateTime<Tz>

impl<'help> PartialOrd<Arg<'help>> for Arg<'help>

impl<'g, T: ?Sized + Pointable> PartialOrd<Shared<'g, T>> for Shared<'g, T>

impl<L: PartialOrd, R: PartialOrd> PartialOrd<Either<L, R>> for Either<L, R>

impl PartialOrd<DwUt> for DwUt

impl PartialOrd<DwAt> for DwAt

impl PartialOrd<DwDs> for DwDs

impl PartialOrd<DwId> for DwId

impl PartialOrd<DwCc> for DwCc

impl PartialOrd<DwOp> for DwOp

impl<'g> PartialOrd<BuildTargetId<'g>> for BuildTargetId<'g>

impl<'g> PartialOrd<FeatureId<'g>> for FeatureId<'g>

impl<'a> PartialOrd<Metadata<'a>> for Metadata<'a>

impl PartialOrd<Mode> for Mode

impl PartialOrd<Pid> for Pid

impl PartialOrd<Time> for Time

impl<Ix: PartialOrd> PartialOrd<EdgeIndex<Ix>> for EdgeIndex<Ix> where
    Ix: IndexType

impl<'a, E: PartialOrd, Ix: PartialOrd + IndexType> PartialOrd<EdgeReference<'a, E, Ix>> for EdgeReference<'a, E, Ix>

impl<Ix: PartialOrd> PartialOrd<NodeIndex<Ix>> for NodeIndex<Ix>

impl<Ix: PartialOrd> PartialOrd<EdgeIndex<Ix>> for EdgeIndex<Ix>

impl PartialOrd<Span> for Span

impl<A: Array> PartialOrd<SmallVec<A>> for SmallVec<A> where
    A::Item: PartialOrd

impl PartialOrd<Tm> for Tm

impl<T: PartialOrd> PartialOrd<Spanned<T>> for Spanned<T>